Chemistry

Chemistry

Problem

For a hydrogen-like ion of atomic number ZZ, which expression gives the radius rnr_{n} of the nth orbit? a) rn=4πε0ℏ2me2 n2r_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,n^{2} b) rn=4πε0ℏ2me2 nZr_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,\dfrac{n}{Z} c) rn=4πε0ℏ2me2 n2Zr_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,\dfrac{n^{2}}{Z} d) rn=4πε0ℏ2me2 n2Z2r_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,\dfrac{n^{2}}{Z^{2}}

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